Finding the Third Proportional to 205,044 and 443,774
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Solution
The third proportional to 205,044 and 443,774 is: 960,454.16
Step by Step Solution
- Step 1: Write the proportion equation
205,044 : 443,774 = 443,774 : x - Step 2: Convert to fraction form
205,044/443,774 = 443,774/x - Step 3: Cross multiply
205,044x = 443,774 × 443,774 - Step 4: Simplify right side
205,044x = 196,935,363,076 - Step 5: Solve for x
x = 196,935,363,076/205,044 - Step 6: Final answer
x = 960,454.16
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.